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Use Newton's Method to Approximate the Indicated Root Of x4+x−4=0x ^ { 4 } + x - 4 = 0

Question 66

Short Answer

Use Newton's method to approximate the indicated root of x4+x−4=0x ^ { 4 } + x - 4 = 0 in the interval [1,2][ 1,2 ] , correct to six decimal places. Use x1=1.5x _ { 1 } = 1.5 as the initial approximation.

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